A curve has the parametric equations
x=ln(t+2),y=t2−9,t>−2 x = \ln(t + 2), \quad y = t^2 - 9, \quad t > -2 x=ln(t+2),y=t2−9,t>−2Find the points where the curve crosses the coordinate axes.
Find an equation for the tangent to the curve when t=2t = 2t=2.
75 exam-style questions on CCEA A Level Maths 3.2 Co-ordinate geometry in the (x, y) plane (A-level only), covering 3.2.1 Co-ordinate geometry in the (x, y) plane (A-level only) and 3.2.2 Co-ordinate geometry in the (x, y) plane (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.